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8317440001 = 1310920692837
BaseRepresentation
bin1111011111100001…
…00001000000000001
3210110122201201201101
413233300201000001
5114013231040001
63453155334401
7413054034133
oct75760410001
923418651641
108317440001
113588a83862
1217415b1401
13a27239040
1458c8db053
1533a301a01
hex1efc21001

8317440001 has 16 divisors (see below), whose sum is σ = 9046976400. Its totient is φ = 7600843008.

The previous prime is 8317439993. The next prime is 8317440037. The reversal of 8317440001 is 1000447138.

It is a Cunningham number, because it is equal to 912002+1.

It can be written as a sum of positive squares in 8 ways, for example, as 2520140401 + 5797299600 = 50201^2 + 76140^2 .

It is a cyclic number.

It is not a de Polignac number, because 8317440001 - 23 = 8317439993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8317440301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2930355 + ... + 2933191.

It is an arithmetic number, because the mean of its divisors is an integer number (565436025).

Almost surely, 28317440001 is an apocalyptic number.

It is an amenable number.

8317440001 is a deficient number, since it is larger than the sum of its proper divisors (729536399).

8317440001 is a wasteful number, since it uses less digits than its factorization.

8317440001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5028.

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 8317440001 is about 91200.0000054825. Note that the first 5 decimals coincide. The cubic root of 8317440001 is about 2026.1109588322.

Adding to 8317440001 its reverse (1000447138), we get a palindrome (9317887139).

The spelling of 8317440001 in words is "eight billion, three hundred seventeen million, four hundred forty thousand, one".

Divisors: 1 13 109 1417 2069 2837 26897 36881 225521 309233 2931773 4020029 5869753 76306789 639803077 8317440001